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Simplifying 5(x + -2) + -3(x + 4) = 0 Reorder the terms: 5(-2 + x) + -3(x + 4) = 0 (-2 * 5 + x * 5) + -3(x + 4) = 0 (-10 + 5x) + -3(x + 4) = 0 Reorder the terms: -10 + 5x + -3(4 + x) = 0 -10 + 5x + (4 * -3 + x * -3) = 0 -10 + 5x + (-12 + -3x) = 0 Reorder the terms: -10 + -12 + 5x + -3x = 0 Combine like terms: -10 + -12 = -22 -22 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -22 + 2x = 0 Solving -22 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 0 + 22 2x = 0 + 22 Combine like terms: 0 + 22 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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